SUPPLEMENTAL EQUITY AND COMPREHENSIVE INCOME INFORMATION - Change in Accumulated Other Comprehensive Loss (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	$ 1,924.4	$ 1,484.9	$ 1,204.0
Other comprehensive income (loss) before reclassifications, net of tax	(85.4)	64.0
Reclassifications to net income, net of tax	4.3	2.7
Net current-period other comprehensive income (loss), net of tax	(81.1)	66.7	(1.5)
Ending balance	2,032.2	1,924.4	1,484.9
Total
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(282.9)	(349.6)	(348.1)
Net current-period other comprehensive income (loss), net of tax	(81.1)	66.7	(1.5)
Ending balance	(364.0)	(282.9)	(349.6)
Foreign Currency Translation
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(217.4)	(248.1)
Other comprehensive income (loss) before reclassifications, net of tax	(96.6)	30.7
Reclassifications to net income, net of tax	0.0	0.0
Net current-period other comprehensive income (loss), net of tax	(96.6)	30.7
Ending balance	(314.0)	(217.4)	(248.1)
Pension and Other Postretirement Benefits
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(60.4)	(92.7)
Other comprehensive income (loss) before reclassifications, net of tax	6.3	27.9
Reclassifications to net income, net of tax	2.8	4.4
Net current-period other comprehensive income (loss), net of tax	9.1	32.3
Ending balance	(51.3)	(60.4)	(92.7)
Cash Flow Hedges
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(5.1)	(8.8)
Other comprehensive income (loss) before reclassifications, net of tax	4.9	5.4
Reclassifications to net income, net of tax	1.5	(1.7)
Net current-period other comprehensive income (loss), net of tax	6.4	3.7
Ending balance	$ 1.3	$ (5.1)	$ (8.8)